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soldi70 [24.7K]
3 years ago
6

The area of a triangle garden can

Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer:

0< h ≤ 15

Step-by-step explanation:

A = 1/2 * base * height = 1/2*16*h = 8h

A no more is ≤.

A ≤ 120

8h ≤ 120

h ≤ 15

0< h ≤ 15

Height should be  more than 0 feet and no more than 15 feet.

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Use factor trees to find the GCF of 32, 24, and 40.
Lana71 [14]
GCF           32                    24                      40
                   ^                       ^                        ^
                2   16               2     12               2    20
                      ^                         ^                      ^
                   2    8                   2    6               2    10
                         ^                         ^                       ^
                       2   4                   2   3                 2    5
                            ^
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                (2)                         (2 & 3)               (2  &  5)
8 0
2 years ago
The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circl
MAXImum [283]

Answer:

10 square inches per second.

Step-by-step explanation:

The radius of the circle is given by the equation:

r(t) = (1/π  in/s)*t

Where time in seconds.

Remember that the area of a circle of radius R is written as:

A = π*R^2

Then the area of our circle will be:

A(t) = π*( (1/π  in/s)*t)^2 = π*(1/π  in/s)^2*(t)^2

Now we want to find the rate of change (the first derivation of the area) when the radius is equal to 5 inches.

Then the first thing we need to do is find the value of t such that the radius is equal to 5 inches.

r(t) = 5 in =  (1/  in/s)*t

       5in*(π s/in) = t

        5*π s = t

So the radius will be equal to 5 inches after 5*π seconds, let's remember that.

Now let's find the first derivate of A(t)

dA(t)/dt = A'(t) = 2*(π*(1/π  in/s)^2*t = (2*π*t)*(1/π  in/s)^2

Now we need to evaluate this in the time such that the radius is equal to 5 inches, we will get:

A'(5*π s) = (2*π*5*π s)*((1/π  in/s)^2

              = (10*π^2  s)*(1/π^2  in^2/s^2) = 10 in^2/s

The rate of change is 10 square inches per second.

4 0
2 years ago
Suppose Adam wants to have $750,000 in his IRA at the end of 30 years. He decides to invest in an annuity paying 6% interest, co
OLga [1]

Answer:

  $9486.68

Step-by-step explanation:

The future value of a annuity formula can be used:

  FV = P((1+r)^n -1)/r

  750000 = P(1.06^30 -1)/0.06

  P = 750000(.06)/(1.06^30 -1) = 9486.68

Adam has to contribute $9,486.68 each year to reach his goal.

6 0
3 years ago
Find the percent of decrease if 110 is decreased to 88 A) 125% B)80% C)20%
stich3 [128]

Hey there! I'm happy to help!

We have 110 minus a certain percent of 110 equals 88. Let's call this percent p and solve.

110-110p=88

We subtract 110 from both sides.

-110p=-22

We divide both sides by 110.

p=0.2

Therefore, the percent decrease is C) 20%.

Have a wonderful day! :D

4 0
2 years ago
Read 2 more answers
Jean feeds her dog 2.5 cups of dog food each day. Each bag contains 64 cups of dog food.What is the maximum number of days that
konstantin123 [22]

Answer:

25 Days

Step-by-step explanation:

2.5 x 25= 62.5 and you can't go above that or it's over 64.

6 0
2 years ago
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